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Data Paper . 2026
License: CC BY
Data sources: Datacite
ZENODO
Data Paper . 2026
License: CC BY
Data sources: Datacite
ZENODO
Data Paper . 2026
License: CC BY
Data sources: Datacite
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The Folding Number of a Tensioned Substrate: α−1 as the Maximum Compression Depth of the Cosmic Membrane

Authors: Sailly, Willhelm;

The Folding Number of a Tensioned Substrate: α−1 as the Maximum Compression Depth of the Cosmic Membrane

Abstract

We demonstrate that the maximum number of stable circular folds nmax of a continuous elastic substrate under its own gravitational load is given by nmax = log2πR2Uℓ2eg≈α−1 + 1 ≈138, (1) where ℓeg is the elasto-gravity length of the cosmic membrane, RU is the comoving radius of the observable universe, and α ≈1/137.036 is the fine-structure constant. The calculation uses exclusively the Universal Tension Law F(λ) = ℏc/λ2 and the dark-energy compression scale λDE = 0.135 mm, with zero free parameters. The result is robust under variation of H0 across the entire Planck–local range (67–73 km s−1 Mpc−1). We further show that Maxwell’s four equations emerge identically from the transverse sector of the linearized substrate wave equation □λ = 0, with the electric charge identified as a topological vortex carrying a fraction α of the local substrate tension.

Keywords

fine-structure constant, plastic substrate membrane cos- mology, electromagnetic emergence, Resonant Continuum Theory

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
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